Disclaimer

You are reminded to wait a couple of minutes every time you open the blog, so that it can typeset all the mathematical notation and symbols.

Saturday 6 June 2015

Introduction: paper pattern; syllabus; and so forth.

Convention would argue in the favour of some prefatory note preceding the main body of work, so to serve as an introduction to the reader. This entry has been made with that in mind.

This blog has been made, as is evident from the title, to prepare students for the CIE Further Mathematics syllabus (9231). This syllabus, intended for high ability learners in the words of Cambridge itself, is not one to be trifled with. I would personally recommend it to none, but the most fervent lovers of Mathematics, and those that have already sat their A Level Mathematics. Needless to add here is that knowledge of the entire CIE A Levels Mathematics Course,

It covers areas of Pure Mathematics, Mechanics and Statistics. The examination will comprise two papers, pure and applied. Both papers will last 3 hours, include about 11 questions of labile lengths and marks, of the which the last one will contain a choice. For the applied paper, questions are divided approximately equally betwixt Mechanics and Statistics. The final question in this instance, would include a Mechanics and a Statistics question to choose from.

You may find the 2016 syllabus here.

The writer has an inscrutable fascination with the Greek Alphabet and such tends to employ them prodigiously. However one shouldn't be thrown by them, they are but variables. Thus an equation of the form $\alpha  + \beta  + \gamma  = 0$ tells us no more than $a + b + c = 0$ unless you have previously fixed some special meaning to the variables.

Some conventions that Mathematician tend to abide by when using these alphabets are Greek minuscules for angles ($\theta$ being most common), capital Latin Alphabet for Matrices, e for the base of natural logarithm, i, j, k, n, m, N, M, for integers, t or $\tau$ for time, and d, $\delta ,\,\Delta $ for change.  

Time and again you may stumble upon a "(why?)" in the posts. Here a concept would be discussed or an assertion made that would not be backed by any reasoning. The reader is expected to use his understanding to substantiate the claims being made.

For Mechanics and Statistics, the knowledge of M1, M2, S1, and S2 while is presupposed, I shall try to include as many elementary concepts as possible before building upon them the concepts you will be tested on in the applied paper. When I have finished the syllabus of the Further Mathematics, I may write on the topics from the modules above listed that the person sitting the exam may need. Projectiles for example comes to mind. It isn't explicitly mentioned in the syllabus, yet it is a part of your previous study and examiners are known to set difficult questions on the topic.

1 comment: